Lisa Kerkorian may just have a fallback plan in case she can’t win more child support from men on both coasts.

The former tennis champ is said to be dating Zack Bacon, the wealthy hedge-funder and brother of billionaire Louis Bacon.

Lisa, 48, is entangled in two cases at the moment. She’s asking for a cool half-million a month — a big increase from the $100,000 she’s already getting — from MGM billionaire Kirk Kerkorian, 97, for her daughter Kira, 16.

Kira is the biological daughter of real-estate heir — and Elizabeth Hurley’s baby-daddy — Steve Bing, but Kirk has supported her since she was very young, despite the fact that he and Lisa were only married for a month in 1999.

Lisa, who lives next to Jon Bon Jovi on Lily Pond Lane in East Hampton, is expected to lose her bid for more child support in California, since $100,000 a month is already a record high.

“Her backup plan is Zack Bacon,” said my source. “They could be a great match,” one source told me. After all, Zack had his own Family Court drama when he sued Diandra Douglas (Michael Douglas’ ex) for custody of their twins that he sired with a surrogate.

While Lisa’s first case plays out in Los Angeles Superior Court, she is also fighting restaurateur Michael Gluckman in Suffolk County Supreme Court.

Gluckman pays her $4,000 a month for their son, 6, and daughter, 8, but Gluckman claims she has alienated the kids from him, and forced his daughter to follow Kira into horse show-jumping, one of the most expensive sports in the world.

“If Michael wins custody, he won’t have to pay her any child support, she’ll have to pay him,” one friend of Gluckman’s told me.

“Funny thing is that all the children are named Kerkorian but none of them are biologically his. Lisa was only married to Kirk for 28 days but she still carries around the name — like a badge of honor.”

Gluckman is happily dating Lila Beudert, who manages the Blow salons he co-owns in East Hampton and Bridgehampton.